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http//localhost:8080/jspui/handle/123456789/2429| Title: | Dynamics of a Turing -type reaction - diffusion model |
| Authors: | Abbad, Abir |
| Keywords: | Reaction-Di usion Systems ,TuringInstability , GlobalExistence , LyapunovFunc- tional , StabilityAnalysis |
| Issue Date: | 2021 |
| Abstract: | The aimofthisthesisistostudythedynamicsofaTuring-typereaction-di usion model,i.e.studyareaction-di usionmodelthatexhibitsTuringproperties,whereas the reaction-di usionde nesthemechanisminwhichseveralinteractingchemicalsor agentsreacttogetherwhiledi usingorspreadingacrossaliquidorgaseousmedium simultaneously,usually,theseprocessesarestudiedfortheirabilitytoproducenontrivial patterns thatevolveovertime.Suchpatternsaredrivenbydi usion,alsoreferredtoas TuringstructuresorTuringpatterns.TheTuringpatternsaremeasuredinthepresenceof di usion, butarenotpresentintheabsenceofdi usion,thismechanismecalled"di usion- driveninstability"or"Turinginstability".Inthiswork,thestudywasrelated"thewell- knownDegn-Harrisonreactiondi usionmodelanditsgeneralization".Ourthechniqueto provetheasymptoticstabilityofthesteadystatesolutionisbasedontheeigen-analysis, the Poincar e{BendixsontheoremandthedirectLyapunovmethod. |
| URI: | http//localhost:8080/jspui/handle/123456789/2429 |
| Appears in Collections: | 3.Faculté des Science Exactes et des Sciences de la Nature et de la Vie |
Files in This Item:
| File | Description | Size | Format | |
|---|---|---|---|---|
| ABBAD ABIR .pdf | 2,84 MB | Adobe PDF | View/Open |
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